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JEE Main
Exam
JEE Main
Subject
Mathematics
Chapter
Ellipse

JEE Main · Mathematics · Ellipse

If α, β are the eccentric angles of the extremities of a focal...

If α,β\alpha, \beta are the eccentric angles of the extremities of a focal chord (other than the major axis) of the ellipse x2+4y2=4x^2+4 y^2=4 then 3cos⁡α+β2=\sqrt{3} \cos \frac{\alpha+\beta}{2}=

Options

  1. A2cos⁡α−β22 \cos \frac{\alpha-\beta}{2}
  2. B2sin⁡α−β22 \sin \frac{\alpha-\beta}{2}
  3. C2sec⁡α+β22 \sec \frac{\alpha+\beta}{2}
  4. D2sin⁡α+β22 \sin \frac{\alpha+\beta}{2}

Correct answer

A. 2cos⁡α−β22 \cos \frac{\alpha-\beta}{2}

Step-by-step solution

No solution. Refer to answer key.
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